Solve (7x^22)-(30273030)

Question

Simplify the expression

14 x^{2} - 30273030

Evaluate

(7 x^{2} \times 2) - 30273030

Solution

14 x^{2} - 30273030

Show Solution

2 (7 x^{2} - 15136515)

Evaluate

(7 x^{2} \times 2) - 30273030

Multiply the terms

14 x^{2} - 30273030

Solution

2 (7 x^{2} - 15136515)

Show Solution

x_{1} = - \frac{3 11772845}{7}, x_{2} = \frac{3 11772845}{7}

Alternative Form

x_{1} \approx - 1470.496272, x_{2} \approx 1470.496272

Evaluate

(7 x^{2} \times 2) - 30273030

To find the roots of the expression,set the expression equal to 0

(7 x^{2} \times 2) - 30273030 = 0

Multiply the terms

14 x^{2} - 30273030 = 0

Move the constant to the right-hand side and change its sign

14 x^{2} = 0 + 30273030

Removing 0 doesn't change the value,so remove it from the expression

14 x^{2} = 30273030

Divide both sides

\frac{14 x ^{2}}{14} = \frac{30273030}{14}

Divide the numbers

x^{2} = \frac{30273030}{14}

Cancel out the common factor 2

x^{2} = \frac{15136515}{7}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{15136515}{7}

Simplify the expression

More Steps

Evaluate

\frac{15136515}{7}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{15136515}{7}

Simplify the radical expression

More Steps

Evaluate

15136515

Write the expression as a product where the root of one of the factors can be evaluated

9 \times 1681835

Write the number in exponential form with the base of 3

3^{2} \times 1681835

The root of a product is equal to the product of the roots of each factor

3^{2} \times 1681835

Reduce the index of the radical and exponent with 2

31681835

\frac{3 1681835}{7}

Multiply by the Conjugate

\frac{3 1681835 \times 7}{7 \times 7}

Multiply the numbers

More Steps

Evaluate

1681835 \times 7

The product of roots with the same index is equal to the root of the product

1681835 \times 7

Calculate the product

11772845

\frac{3 11772845}{7 \times 7}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{3 11772845}{7}

x = \pm \frac{3 11772845}{7}

Separate the equation into 2 possible cases

x = \frac{3 11772845}{7} x = - \frac{3 11772845}{7}

Solution

x_{1} = - \frac{3 11772845}{7}, x_{2} = \frac{3 11772845}{7}

Alternative Form

x_{1} \approx - 1470.496272, x_{2} \approx 1470.496272

Show Solution